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Discrete spectrum of many body Schrödinger operators with non-constant magnetic fields II

Published online by Cambridge University Press:  22 January 2016

Tetsuya Hattori
Tetsuya Hattori*
Affiliation:
Department of Mathematics, Osaka University, Toyonaka, Osaka 560, Japan
*
Department of Mechanics and Applied Mathematics, Osaka Institute of Technology, 5-16-1, Omiya, Asahi-ku, Osaka 535, Japan
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This paper is continuation from [10], in which we studied the discrete spectrum of atomic Hamiltonians with non-constant magnetic fields and, more precisely, we showed that any atomic system has only finitely many bound states, corresponding to the discrete energy levels, in a suitable magnetic field. In this paper we show another phenomenon in non-constant magnetic fields that any atomic system has infinitely many bound states in a suitable magnetic field.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 145 , March 1997 , pp. 69 - 98
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

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